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Freedom of Choice: The Leximax Criterion in the Infinite Case

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Author Info
AR. Arlegi () (Departamento de Economía-UPNA)
AR. M. Besada (Universidad de Vigo)
J. Nieto () (Departamento de Economía-UPNA)
AR. C. Vázquez (Universidad de Vigo)
Abstract

Many recent works have investigated the problem of extending a preference over a set of alternatives to its power set, in an attempt to provide a formal representation of the notion of freedom of choice. In general, results are limited to the finite case, which excludes, for instance, the case of economic environments. This paper deals with the possibility of extending those results to the context where the basic set of alternatives is the n-dimensional Euclidean space. We present an extension of the leximax criterion described by Bossert, Pattanaik and Xu (1994) to this more general framework.

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Paper provided by Departamento de Economía - Universidad Pública de Navarra in its series Documentos de Trabajo - Lan Gaiak Departamento de Economía - Universidad Pública de Navarra with number 0608.

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Length: pages
Date of creation: 2006
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Publication status: Published in
Handle: RePEc:nav:ecupna:0608

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Related research
Keywords: preferences utility freedom of choice leximax.

Find related papers by JEL classification:
C60 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - General

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Ricardo Arlegi & Jorge Nieto, 2001. "Ranking opportunity sets: An approach based on the preference for flexibility," Social Choice and Welfare, Springer, vol. 18(1), pages 23-36. [Downloadable!] (restricted)
  2. Kreps, David M, 1979. "A Representation Theorem for "Preference for Flexibility"," Econometrica, Econometric Society, vol. 47(3), pages 565-77, May. [Downloadable!] (restricted)
  3. Bossert Walter & Pattanaik Prasanta K. & Xu Yongsheng, 1994. "Ranking Opportunity Sets: An Axiomatic Approach," Journal of Economic Theory, Elsevier, vol. 63(2), pages 326-345, August. [Downloadable!] (restricted)
  4. Pattanaik, Prasanta K. & Xu, Yongsheng, 2000. "On Ranking Opportunity Sets in Economic Environments," Journal of Economic Theory, Elsevier, vol. 93(1), pages 48-71, July. [Downloadable!] (restricted)
  5. Sen, Amartya, 1988. "Freedom of choice : Concept and content," European Economic Review, Elsevier, vol. 32(2-3), pages 269-294, March. [Downloadable!] (restricted)
  6. Sen, A., 1991. "Markets And Freedoms," Harvard Institute of Economic Research Working Papers 1559, Harvard - Institute of Economic Research.
  7. Tjalling C. Koopmans, 1962. "On Flexibility of Future Preference," Cowles Foundation Discussion Papers 150, Cowles Foundation, Yale University. [Downloadable!]
  8. Ballester, Miguel A. & de Miguel, Juan R. & Nieto, Jorge, 2004. "Set comparisons in a general domain: the Indirect Utility Criterion," Mathematical Social Sciences, Elsevier, vol. 48(2), pages 139-150, September. [Downloadable!] (restricted)
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